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Finding the Third Proportional to 256,398.50 and 397,997.50

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Solution

The third proportional to 256,398.50 and 397,997.50 is: 617,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,398.50 : 397,997.50 = 397,997.50 : x
  2. Step 2: Convert to fraction form
    256,398.50/397,997.50 = 397,997.50/x
  3. Step 3: Cross multiply
    256,398.50x = 397,997.50 × 397,997.50
  4. Step 4: Simplify right side
    256,398.50x = 158,402,010,006.25
  5. Step 5: Solve for x
    x = 158,402,010,006.25/256,398.50
  6. Step 6: Final answer
    x = 617,796.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.